Simultaneous Capacity and Production Management of Short-Life-Cycle, Produce-to-Stock Goods Under Stochastic Demand
Simultaneous Capacity and Production Management of Short-Life-Cycle, Produce-to-Stock Goods Under Stochastic Demand
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DOI：
10.1287/mnsc.48.3.399.7726
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发表时间：
2002-03
期刊：
影响因子：
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通讯作者：
Alexandar Angelus;Evan L. Porteus
中科院分区：
文献类型：
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作者：
Alexandar Angelus;Evan L. Porteus
本文推导了随机需求下短生命周期、从生产到库存商品的最佳同步产能和生产计划。容量可以按照外生设定的单价减少或增加。在所研究的两种情况下，无论有或没有未售出单位的结转，目标间隔政策都是最佳的：每个时期都有一个（通常不同的）目标间隔，因此应尽可能少地改变容量，以使可用水平进入该间隔。在没有结转的情况下，我们的贡献是目标间隔的详细描述，假设需求在生命周期开始时随机增加，然后减少。在结转的情况下，我们得出了一般结果，并表明产能和库存是经济替代品：目标区间随着初始库存水平的降低而最优无约束基础库存水平随着产能水平的降低而降低。在这两种情况下，最佳服务率不一定随着时间的推移而保持不变。数值示例说明了结果。
This paper derives the optimal simultaneous capacity and production plan for a shortlife-cycle, produce-to-stock good under stochastic demand. Capacity can be reduced as well as added, at exogenously set unit prices. In both cases studied, with and without carryover of unsold units, a target interval policy is optimal: There is a (usually different) target interval for each period such that capacity should be changed as little as possible to bring the level available into that interval. Our contribution in the case of no carry-over, is a detailed characterization of the target intervals, assuming demands increase stochastically at the beginning of the life cycle and decrease thereafter. In the case of carry-over, we establish the general result and show that capacity and inventory are economic substitutes: The target intervals decrease in the initial stock level and the optimal unconstrained base stock level decreases in the capacity level. In both cases, optimal service rates are not necessarily constant over time. A numerical example illustrates the results.